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Finding the Third Proportional to 1,947.80 and 4,215.80

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Solution

The third proportional to 1,947.80 and 4,215.80 is: 9,124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.80 : 4,215.80 = 4,215.80 : x
  2. Step 2: Convert to fraction form
    1,947.80/4,215.80 = 4,215.80/x
  3. Step 3: Cross multiply
    1,947.80x = 4,215.80 × 4,215.80
  4. Step 4: Simplify right side
    1,947.80x = 17,772,943.29
  5. Step 5: Solve for x
    x = 17,772,943.29/1,947.80
  6. Step 6: Final answer
    x = 9,124.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.